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795247616 = 2105314653
BaseRepresentation
bin101111011001101…
…000010000000000
32001102101202122102
4233121220100000
53112040410431
6210524525532
725464331112
oct5731502000
92042352572
10795247616
11378995339
121a23b08a8
13c89aaa27
147788d3b2
1549c38dcb
hex2f668400

795247616 has 44 divisors (see below), whose sum is σ = 1619823852. Its totient is φ = 390094848.

The previous prime is 795247601. The next prime is 795247637. The reversal of 795247616 is 616742597.

It can be written as a sum of positive squares in 2 ways, for example, as 610287616 + 184960000 = 24704^2 + 13600^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46946 + ... + 61598.

Almost surely, 2795247616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 795247616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809911926).

795247616 is an abundant number, since it is smaller than the sum of its proper divisors (824576236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

795247616 is a wasteful number, since it uses less digits than its factorization.

795247616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14726 (or 14708 counting only the distinct ones).

The product of its digits is 635040, while the sum is 47.

The square root of 795247616 is about 28200.1350351377. The cubic root of 795247616 is about 926.4758969878.

The spelling of 795247616 in words is "seven hundred ninety-five million, two hundred forty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 3392 6784 13568 14653 27136 29306 54272 58612 117224 234448 468896 776609 937792 1553218 1875584 3106436 3751168 6212872 7502336 12425744 15004672 24851488 49702976 99405952 198811904 397623808 795247616